Emily passes a soccer ball 6.0 m directly across the field to kara. kara then kicks the ball 14.5 m directly down the field to luisa. what is the ball’s total displacement as it travels between emily and luisa?

Below is the solution:

et the position of emily be a 
let the position of kara be b 
let the position of luisa be c 

abc is a right angled triangle, at b 

displacement = ac 

ac = root of ab^2 + bc^2 (pythagoras theorem) 
= root of 6^2 + 14.5^2 
= root of 246.25 
= 15.69